As noted in a previous post one method of capitalist exploitation in marxian theory is through an increase in labor intensity as defined by the equation:
$$I=\frac{SV+V}{lh}$$
A fellow user RegressForward helped with the basic mathematics involved in this formula and came up with a decent understanding of the equation in my opinion. It appears to be the same as exploitation via increase via relative surplus value.
However after searching the web for more on this topic I found that there exists a paper which uses a completely different formula which we can use for to get an equation for us who are more econometric ally inclned. A detailed review is in: Duration, Intensity and Productivity of Labour and the Distinction between Absolute and Relative Surplus-value by Stavros Mavroudeas.
Setup:
Let $T$ be the total daily work time of the workers, and $V$ and $SV$ be their value and surplus value produced during the day. It follows that:
$$T=SV+V$$
He describes this process of increased intensity by including a factor $b$ which denotes intensity.
It follows that effective labor time is defined as:
$$t=bT$$
by extension it follows that effective value production and surplus value production is:
$$v=bV$$ $$sv=bSV$$
Its interesting to note how this affects the marxian labor theory of value:
$$P'=C+b(V+SV)$$
where revenue from sale at price $P'$ is divided based on value added by machinery (C) and effective Labor value and surplus.
In Short: As we can see Stephen Resnick uses a fundamentally different equation from Maveroudeas. Is there a way to resolve these two equations?
